Introduces G-Hermitian 2-vector spaces via fixed points of an O(2)-action on 2Vect and criteria for positive pairings to generalize the Hermitian-to-Hilbert passage, with an outline for inductive higher-dimensional versions.
Notes on Operator Categories
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abstract
The bicategory of normal functors between W*-categories is monoidally equivalent to the bicategory of W*-bimodules.
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The many faces of higher Hilbert spaces
Introduces G-Hermitian 2-vector spaces via fixed points of an O(2)-action on 2Vect and criteria for positive pairings to generalize the Hermitian-to-Hilbert passage, with an outline for inductive higher-dimensional versions.